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Statements
Q
(
a
,
z
)
P
(
a
,
z
)
}
∼
z
a
-
1
2
e
-
z
Γ
(
a
)
(
d
(
±
χ
)
∑
k
=
0
∞
A
k
(
χ
)
z
k
/
2
∓
∑
k
=
1
∞
B
k
(
χ
)
z
k
/
2
)
,
asymptotic-expansion
selection
incomplete-gamma-Q
𝑎
𝑧
incomplete-gamma-P
𝑎
𝑧
superscript
𝑧
𝑎
1
2
superscript
𝑒
𝑧
Euler-Gamma
𝑎
minus-or-plus
𝑑
plus-or-minus
𝜒
superscript
subscript
𝑘
0
subscript
𝐴
𝑘
𝜒
superscript
𝑧
𝑘
2
superscript
subscript
𝑘
1
subscript
𝐵
𝑘
𝜒
superscript
𝑧
𝑘
2
{\displaystyle{\displaystyle\rselection{Q\left(a,z\right)\\
P\left(a,z\right)}\sim\frac{z^{a-\frac{1}{2}}e^{-z}}{\Gamma\left(a\right)}{%
\left(d(\pm\chi)\sum_{k=0}^{\infty}\frac{A_{k}(\chi)}{z^{k/2}}\mp\sum_{k=1}^{%
\infty}\frac{B_{k}(\chi)}{z^{k/2}}\right)},}}
Γ
(
z
)
Euler-Gamma
𝑧
{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
∼
asymptotic-expansion
{\displaystyle{\displaystyle\sim}}
e
{\displaystyle{\displaystyle\mathrm{e}}}
P
(
a
,
z
)
incomplete-gamma-P
𝑎
𝑧
{\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}}
Q
(
a
,
z
)
incomplete-gamma-Q
𝑎
𝑧
{\displaystyle{\displaystyle Q\left(\NVar{a},\NVar{z}\right)}}
z
𝑧
{\displaystyle{\displaystyle z}}
a
𝑎
{\displaystyle{\displaystyle a}}
k
𝑘
{\displaystyle{\displaystyle k}}
χ
𝜒
{\displaystyle{\displaystyle\chi}}
d
(
±
χ
)
𝑑
plus-or-minus
𝜒
{\displaystyle{\displaystyle d(\pm\chi)}}
A
k
(
χ
)
subscript
𝐴
𝑘
𝜒
{\displaystyle{\displaystyle A_{k}(\chi)}}
B
k
(
χ
)
subscript
𝐵
𝑘
𝜒
{\displaystyle{\displaystyle B_{k}(\chi)}}
Identifiers
